Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2018, Volume 14, Number 2, Pages 214–232
DOI: https://doi.org/10.15407/mag14.02.214 (Mi jmag698) 		 
This article is cited in 2 scientific papers (total in 2 papers)

The solvability of the initial-boundary value problems for a nonlinear Schrödinger equation with a special gradient term

G. Yaguba, N. S. Ibrahimovbc, M. Zengina

a Kafkas University, Paşaçayırı Campus, Kars, 36040, Turkey
b Baku State University, 23 Academic Zahid Khalilov St., Baku, AZ 1148, Azerbaijan
c Lankaran State University, 50 Hazi Aslanov St., Lankaran, AZ 4200, Azerbaijan
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DOI: https://doi.org/10.15407/mag14.02.214
Abstract: In this paper, the initial-boundary value problems for the two-dimensional nonlinear Schrödinger equation with a special gradient term with purely imaginary coefficients in the nonlinear part, when the coefficients of the equation are measurable bounded functions, are considered. The existence and uniqueness of solutions of the first and second initial-boundary value problems is proved almost everywhere.
Key words and phrases: Schrödinger equation, special gradient term, existence and uniqueness, first and second initial-boundary value problems.
Received: 13.02.2017
Revised: 10.01.2018
Document Type: Article
MSC: 35D, 35M, 35Q
Language: English
Citation: G. Yagub, N. S. Ibrahimov, M. Zengin, “The solvability of the initial-boundary value problems for a nonlinear Schrödinger equation with a special gradient term”, Zh. Mat. Fiz. Anal. Geom., 14:2 (2018), 214–232
Citation in format AMSBIB
\Bibitem{YagIbrZen18}
\by G.~Yagub, N.~S.~Ibrahimov, M.~Zengin
\paper The solvability of the initial-boundary value problems for a nonlinear Schr\"odinger equation with a special gradient term
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2018
\vol 14
\issue 2
\pages 214--232
\mathnet{http://mi.mathnet.ru/jmag698}
\crossref{https://doi.org/10.15407/mag14.02.214}
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